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Finding the Fourth Proportional to 530,154.84, 731,605.64 and 288,431.90

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Solution

The fourth proportional to 530,154.84, 731,605.64 and 288,431.90 is: 398,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,154.84 : 731,605.64 = 288,431.90 : x
  2. Step 2: Convert to fraction form
    530,154.84/731,605.64 = 288,431.90/x
  3. Step 3: Cross multiply
    530,154.84x = 731,605.64 × 288,431.90
  4. Step 4: Simplify right side
    530,154.84x = 211,018,399,695.73
  5. Step 5: Solve for x
    x = 211,018,399,695.73/530,154.84
  6. Step 6: Final answer
    x = 398,031.64

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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.