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Finding the Fourth Proportional to 584,698.57, 807,658.40 and 470,407.77

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Solution

The fourth proportional to 584,698.57, 807,658.40 and 470,407.77 is: 649,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,698.57 : 807,658.40 = 470,407.77 : x
  2. Step 2: Convert to fraction form
    584,698.57/807,658.40 = 470,407.77/x
  3. Step 3: Cross multiply
    584,698.57x = 807,658.40 × 470,407.77
  4. Step 4: Simplify right side
    584,698.57x = 379,928,788,041.79
  5. Step 5: Solve for x
    x = 379,928,788,041.79/584,698.57
  6. Step 6: Final answer
    x = 649,785.73

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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.