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Finding the Fourth Proportional to 272,968,278.40, 409,452,417.60 and 272,968,278.40

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Solution

The fourth proportional to 272,968,278.40, 409,452,417.60 and 272,968,278.40 is: 409,452,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,968,278.40 : 409,452,417.60 = 272,968,278.40 : x
  2. Step 2: Convert to fraction form
    272,968,278.40/409,452,417.60 = 272,968,278.40/x
  3. Step 3: Cross multiply
    272,968,278.40x = 409,452,417.60 × 272,968,278.40
  4. Step 4: Simplify right side
    272,968,278.40x = 111,767,521,518,989,856
  5. Step 5: Solve for x
    x = 111,767,521,518,989,856/272,968,278.40
  6. Step 6: Final answer
    x = 409,452,417.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.