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Finding the Fourth Proportional to 602,106.17, 830,102.70 and 478,337.81

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Solution

The fourth proportional to 602,106.17, 830,102.70 and 478,337.81 is: 659,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,106.17 : 830,102.70 = 478,337.81 : x
  2. Step 2: Convert to fraction form
    602,106.17/830,102.70 = 478,337.81/x
  3. Step 3: Cross multiply
    602,106.17x = 830,102.70 × 478,337.81
  4. Step 4: Simplify right side
    602,106.17x = 397,069,507,593.09
  5. Step 5: Solve for x
    x = 397,069,507,593.09/602,106.17
  6. Step 6: Final answer
    x = 659,467.59

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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.