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Finding the Fourth Proportional to 507,605.16, 700,495.13 and 281,250.66

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Solution

The fourth proportional to 507,605.16, 700,495.13 and 281,250.66 is: 388,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,605.16 : 700,495.13 = 281,250.66 : x
  2. Step 2: Convert to fraction form
    507,605.16/700,495.13 = 281,250.66/x
  3. Step 3: Cross multiply
    507,605.16x = 700,495.13 × 281,250.66
  4. Step 4: Simplify right side
    507,605.16x = 197,014,717,639.29
  5. Step 5: Solve for x
    x = 197,014,717,639.29/507,605.16
  6. Step 6: Final answer
    x = 388,125.92

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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.