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Finding the Fourth Proportional to 393,332.34, 542,840.60 and 230,038.77

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Solution

The fourth proportional to 393,332.34, 542,840.60 and 230,038.77 is: 317,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,332.34 : 542,840.60 = 230,038.77 : x
  2. Step 2: Convert to fraction form
    393,332.34/542,840.60 = 230,038.77/x
  3. Step 3: Cross multiply
    393,332.34x = 542,840.60 × 230,038.77
  4. Step 4: Simplify right side
    393,332.34x = 124,874,385,862.26
  5. Step 5: Solve for x
    x = 124,874,385,862.26/393,332.34
  6. Step 6: Final answer
    x = 317,478.05

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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.