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Finding the Fourth Proportional to 522,113.86, 720,503.13 and 307,266.58

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Solution

The fourth proportional to 522,113.86, 720,503.13 and 307,266.58 is: 424,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,113.86 : 720,503.13 = 307,266.58 : x
  2. Step 2: Convert to fraction form
    522,113.86/720,503.13 = 307,266.58/x
  3. Step 3: Cross multiply
    522,113.86x = 720,503.13 × 307,266.58
  4. Step 4: Simplify right side
    522,113.86x = 221,386,532,634.40
  5. Step 5: Solve for x
    x = 221,386,532,634.40/522,113.86
  6. Step 6: Final answer
    x = 424,019.64

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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.