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Finding the Fourth Proportional to 292,364.90, 438,547.35 and 142,701.20

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Solution

The fourth proportional to 292,364.90, 438,547.35 and 142,701.20 is: 214,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,364.90 : 438,547.35 = 142,701.20 : x
  2. Step 2: Convert to fraction form
    292,364.90/438,547.35 = 142,701.20/x
  3. Step 3: Cross multiply
    292,364.90x = 438,547.35 × 142,701.20
  4. Step 4: Simplify right side
    292,364.90x = 62,581,233,101.82
  5. Step 5: Solve for x
    x = 62,581,233,101.82/292,364.90
  6. Step 6: Final answer
    x = 214,051.80

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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.