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Finding the Fourth Proportional to 565,567.80, 780,498.60 and 307,462.20

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Solution

The fourth proportional to 565,567.80, 780,498.60 and 307,462.20 is: 424,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,567.80 : 780,498.60 = 307,462.20 : x
  2. Step 2: Convert to fraction form
    565,567.80/780,498.60 = 307,462.20/x
  3. Step 3: Cross multiply
    565,567.80x = 780,498.60 × 307,462.20
  4. Step 4: Simplify right side
    565,567.80x = 239,973,816,652.92
  5. Step 5: Solve for x
    x = 239,973,816,652.92/565,567.80
  6. Step 6: Final answer
    x = 424,306.01

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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.