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Finding the Fourth Proportional to 524,943, 724,421.34 and 286,479

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Solution

The fourth proportional to 524,943, 724,421.34 and 286,479 is: 395,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,943 : 724,421.34 = 286,479 : x
  2. Step 2: Convert to fraction form
    524,943/724,421.34 = 286,479/x
  3. Step 3: Cross multiply
    524,943x = 724,421.34 × 286,479
  4. Step 4: Simplify right side
    524,943x = 207,531,501,061.86
  5. Step 5: Solve for x
    x = 207,531,501,061.86/524,943
  6. Step 6: Final answer
    x = 395,341.02

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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.