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Finding the Fourth Proportional to 338,970.92, 508,443.06 and 102,307.16

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Solution

The fourth proportional to 338,970.92, 508,443.06 and 102,307.16 is: 153,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,970.92 : 508,443.06 = 102,307.16 : x
  2. Step 2: Convert to fraction form
    338,970.92/508,443.06 = 102,307.16/x
  3. Step 3: Cross multiply
    338,970.92x = 508,443.06 × 102,307.16
  4. Step 4: Simplify right side
    338,970.92x = 52,017,365,490.31
  5. Step 5: Solve for x
    x = 52,017,365,490.31/338,970.92
  6. Step 6: Final answer
    x = 153,456.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.