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Finding the Fourth Proportional to 292,495.88, 438,688.32 and 142,585.40

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Solution

The fourth proportional to 292,495.88, 438,688.32 and 142,585.40 is: 213,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,495.88 : 438,688.32 = 142,585.40 : x
  2. Step 2: Convert to fraction form
    292,495.88/438,688.32 = 142,585.40/x
  3. Step 3: Cross multiply
    292,495.88x = 438,688.32 × 142,585.40
  4. Step 4: Simplify right side
    292,495.88x = 62,550,547,389.09
  5. Step 5: Solve for x
    x = 62,550,547,389.09/292,495.88
  6. Step 6: Final answer
    x = 213,851.04

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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.