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Finding the Fourth Proportional to 525,154.78, 724,709.91 and 286,690.78

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Solution

The fourth proportional to 525,154.78, 724,709.91 and 286,690.78 is: 395,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,154.78 : 724,709.91 = 286,690.78 : x
  2. Step 2: Convert to fraction form
    525,154.78/724,709.91 = 286,690.78/x
  3. Step 3: Cross multiply
    525,154.78x = 724,709.91 × 286,690.78
  4. Step 4: Simplify right side
    525,154.78x = 207,767,649,371.63
  5. Step 5: Solve for x
    x = 207,767,649,371.63/525,154.78
  6. Step 6: Final answer
    x = 395,631.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.