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Finding the Fourth Proportional to 260,042.72, 390,036.14 and 176,340.16

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Solution

The fourth proportional to 260,042.72, 390,036.14 and 176,340.16 is: 264,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.72 : 390,036.14 = 176,340.16 : x
  2. Step 2: Convert to fraction form
    260,042.72/390,036.14 = 176,340.16/x
  3. Step 3: Cross multiply
    260,042.72x = 390,036.14 × 176,340.16
  4. Step 4: Simplify right side
    260,042.72x = 68,779,032,501.50
  5. Step 5: Solve for x
    x = 68,779,032,501.50/260,042.72
  6. Step 6: Final answer
    x = 264,491.28

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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.