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Finding the Fourth Proportional to 530,280, 731,786.52 and 291,816

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Solution

The fourth proportional to 530,280, 731,786.52 and 291,816 is: 402,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,280 : 731,786.52 = 291,816 : x
  2. Step 2: Convert to fraction form
    530,280/731,786.52 = 291,816/x
  3. Step 3: Cross multiply
    530,280x = 731,786.52 × 291,816
  4. Step 4: Simplify right side
    530,280x = 213,547,015,120.32
  5. Step 5: Solve for x
    x = 213,547,015,120.32/530,280
  6. Step 6: Final answer
    x = 402,706.15

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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.