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Finding the Fourth Proportional to 493,070.90, 680,448.47 and 272,307.50

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Solution

The fourth proportional to 493,070.90, 680,448.47 and 272,307.50 is: 375,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,070.90 : 680,448.47 = 272,307.50 : x
  2. Step 2: Convert to fraction form
    493,070.90/680,448.47 = 272,307.50/x
  3. Step 3: Cross multiply
    493,070.90x = 680,448.47 × 272,307.50
  4. Step 4: Simplify right side
    493,070.90x = 185,291,222,084.11
  5. Step 5: Solve for x
    x = 185,291,222,084.11/493,070.90
  6. Step 6: Final answer
    x = 375,790.22

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1.5x scale

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.