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Finding the Fourth Proportional to 602,104.07, 830,099.79 and 478,335.69

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Solution

The fourth proportional to 602,104.07, 830,099.79 and 478,335.69 is: 659,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,104.07 : 830,099.79 = 478,335.69 : x
  2. Step 2: Convert to fraction form
    602,104.07/830,099.79 = 478,335.69/x
  3. Step 3: Cross multiply
    602,104.07x = 830,099.79 × 478,335.69
  4. Step 4: Simplify right side
    602,104.07x = 397,066,355,818.51
  5. Step 5: Solve for x
    x = 397,066,355,818.51/602,104.07
  6. Step 6: Final answer
    x = 659,464.66

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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.