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Finding the Fourth Proportional to 602,117.15, 830,914.81 and 347,462.87

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Solution

The fourth proportional to 602,117.15, 830,914.81 and 347,462.87 is: 479,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,117.15 : 830,914.81 = 347,462.87 : x
  2. Step 2: Convert to fraction form
    602,117.15/830,914.81 = 347,462.87/x
  3. Step 3: Cross multiply
    602,117.15x = 830,914.81 × 347,462.87
  4. Step 4: Simplify right side
    602,117.15x = 288,712,039,584.87
  5. Step 5: Solve for x
    x = 288,712,039,584.87/602,117.15
  6. Step 6: Final answer
    x = 479,494.80

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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.