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Finding the Fourth Proportional to 292,248.78, 438,020.28 and 142,264.32

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Solution

The fourth proportional to 292,248.78, 438,020.28 and 142,264.32 is: 213,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,248.78 : 438,020.28 = 142,264.32 : x
  2. Step 2: Convert to fraction form
    292,248.78/438,020.28 = 142,264.32/x
  3. Step 3: Cross multiply
    292,248.78x = 438,020.28 × 142,264.32
  4. Step 4: Simplify right side
    292,248.78x = 62,314,657,280.41
  5. Step 5: Solve for x
    x = 62,314,657,280.41/292,248.78
  6. Step 6: Final answer
    x = 213,224.70

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1.5x scale

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.