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Finding the Fourth Proportional to 507,320.96, 700,108.80 and 280,970.24

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Solution

The fourth proportional to 507,320.96, 700,108.80 and 280,970.24 is: 387,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,320.96 : 700,108.80 = 280,970.24 : x
  2. Step 2: Convert to fraction form
    507,320.96/700,108.80 = 280,970.24/x
  3. Step 3: Cross multiply
    507,320.96x = 700,108.80 × 280,970.24
  4. Step 4: Simplify right side
    507,320.96x = 196,709,737,562.11
  5. Step 5: Solve for x
    x = 196,709,737,562.11/507,320.96
  6. Step 6: Final answer
    x = 387,742.19

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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.