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Finding the Fourth Proportional to 292,547, 438,820.56 and 70,931

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Solution

The fourth proportional to 292,547, 438,820.56 and 70,931 is: 106,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,547 : 438,820.56 = 70,931 : x
  2. Step 2: Convert to fraction form
    292,547/438,820.56 = 70,931/x
  3. Step 3: Cross multiply
    292,547x = 438,820.56 × 70,931
  4. Step 4: Simplify right side
    292,547x = 31,125,981,141.36
  5. Step 5: Solve for x
    x = 31,125,981,141.36/292,547
  6. Step 6: Final answer
    x = 106,396.51

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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.