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Finding the Fourth Proportional to 256,610,720.40, 360,162,001.20 and 256,610,720.40

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Solution

The fourth proportional to 256,610,720.40, 360,162,001.20 and 256,610,720.40 is: 360,162,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,610,720.40 : 360,162,001.20 = 256,610,720.40 : x
  2. Step 2: Convert to fraction form
    256,610,720.40/360,162,001.20 = 256,610,720.40/x
  3. Step 3: Cross multiply
    256,610,720.40x = 360,162,001.20 × 256,610,720.40
  4. Step 4: Simplify right side
    256,610,720.40x = 92,421,430,588,637,664
  5. Step 5: Solve for x
    x = 92,421,430,588,637,664/256,610,720.40
  6. Step 6: Final answer
    x = 360,162,001.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.