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Finding the Fourth Proportional to 602,214.06, 828,969.51 and 520,505.10

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Solution

The fourth proportional to 602,214.06, 828,969.51 and 520,505.10 is: 716,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,214.06 : 828,969.51 = 520,505.10 : x
  2. Step 2: Convert to fraction form
    602,214.06/828,969.51 = 520,505.10/x
  3. Step 3: Cross multiply
    602,214.06x = 828,969.51 × 520,505.10
  4. Step 4: Simplify right side
    602,214.06x = 431,482,857,699.50
  5. Step 5: Solve for x
    x = 431,482,857,699.50/602,214.06
  6. Step 6: Final answer
    x = 716,494.16

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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.