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Finding the Fourth Proportional to 530,460, 732,034.80 and 291,996

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Solution

The fourth proportional to 530,460, 732,034.80 and 291,996 is: 402,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,460 : 732,034.80 = 291,996 : x
  2. Step 2: Convert to fraction form
    530,460/732,034.80 = 291,996/x
  3. Step 3: Cross multiply
    530,460x = 732,034.80 × 291,996
  4. Step 4: Simplify right side
    530,460x = 213,751,233,460.80
  5. Step 5: Solve for x
    x = 213,751,233,460.80/530,460
  6. Step 6: Final answer
    x = 402,954.48

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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.