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Finding the Fourth Proportional to 507,827.50, 700,802.06 and 281,473

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Solution

The fourth proportional to 507,827.50, 700,802.06 and 281,473 is: 388,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,827.50 : 700,802.06 = 281,473 : x
  2. Step 2: Convert to fraction form
    507,827.50/700,802.06 = 281,473/x
  3. Step 3: Cross multiply
    507,827.50x = 700,802.06 × 281,473
  4. Step 4: Simplify right side
    507,827.50x = 197,256,858,234.38
  5. Step 5: Solve for x
    x = 197,256,858,234.38/507,827.50
  6. Step 6: Final answer
    x = 388,432.80

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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.