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Finding the Fourth Proportional to 565,607, 780,542.74 and 307,484.48

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Solution

The fourth proportional to 565,607, 780,542.74 and 307,484.48 is: 424,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,607 : 780,542.74 = 307,484.48 : x
  2. Step 2: Convert to fraction form
    565,607/780,542.74 = 307,484.48/x
  3. Step 3: Cross multiply
    565,607x = 780,542.74 × 307,484.48
  4. Step 4: Simplify right side
    565,607x = 240,004,778,526.68
  5. Step 5: Solve for x
    x = 240,004,778,526.68/565,607
  6. Step 6: Final answer
    x = 424,331.34

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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.