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Finding the Fourth Proportional to 713,421.60, 1,069,225.20 and 292,221.60

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Solution

The fourth proportional to 713,421.60, 1,069,225.20 and 292,221.60 is: 437,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,421.60 : 1,069,225.20 = 292,221.60 : x
  2. Step 2: Convert to fraction form
    713,421.60/1,069,225.20 = 292,221.60/x
  3. Step 3: Cross multiply
    713,421.60x = 1,069,225.20 × 292,221.60
  4. Step 4: Simplify right side
    713,421.60x = 312,450,698,704.32
  5. Step 5: Solve for x
    x = 312,450,698,704.32/713,421.60
  6. Step 6: Final answer
    x = 437,960.81

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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.