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Finding the Fourth Proportional to 921,792, 1,272,073.68 and 497,856

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Solution

The fourth proportional to 921,792, 1,272,073.68 and 497,856 is: 687,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,792 : 1,272,073.68 = 497,856 : x
  2. Step 2: Convert to fraction form
    921,792/1,272,073.68 = 497,856/x
  3. Step 3: Cross multiply
    921,792x = 1,272,073.68 × 497,856
  4. Step 4: Simplify right side
    921,792x = 633,309,514,030.08
  5. Step 5: Solve for x
    x = 633,309,514,030.08/921,792
  6. Step 6: Final answer
    x = 687,041.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.