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Finding the Fourth Proportional to 602,114.74, 830,298.02 and 420,760.20

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Solution

The fourth proportional to 602,114.74, 830,298.02 and 420,760.20 is: 580,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,114.74 : 830,298.02 = 420,760.20 : x
  2. Step 2: Convert to fraction form
    602,114.74/830,298.02 = 420,760.20/x
  3. Step 3: Cross multiply
    602,114.74x = 830,298.02 × 420,760.20
  4. Step 4: Simplify right side
    602,114.74x = 349,356,360,954.80
  5. Step 5: Solve for x
    x = 349,356,360,954.80/602,114.74
  6. Step 6: Final answer
    x = 580,215.59

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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.