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Finding the Fourth Proportional to 565,417.72, 780,282.48 and 307,294.67

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Solution

The fourth proportional to 565,417.72, 780,282.48 and 307,294.67 is: 424,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,417.72 : 780,282.48 = 307,294.67 : x
  2. Step 2: Convert to fraction form
    565,417.72/780,282.48 = 307,294.67/x
  3. Step 3: Cross multiply
    565,417.72x = 780,282.48 × 307,294.67
  4. Step 4: Simplify right side
    565,417.72x = 239,776,645,912.35
  5. Step 5: Solve for x
    x = 239,776,645,912.35/565,417.72
  6. Step 6: Final answer
    x = 424,069.92

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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.