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Finding the Fourth Proportional to 507,915.50, 700,994.84 and 314,385.32

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Solution

The fourth proportional to 507,915.50, 700,994.84 and 314,385.32 is: 433,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,915.50 : 700,994.84 = 314,385.32 : x
  2. Step 2: Convert to fraction form
    507,915.50/700,994.84 = 314,385.32/x
  3. Step 3: Cross multiply
    507,915.50x = 700,994.84 × 314,385.32
  4. Step 4: Simplify right side
    507,915.50x = 220,382,487,272.31
  5. Step 5: Solve for x
    x = 220,382,487,272.31/507,915.50
  6. Step 6: Final answer
    x = 433,895.97

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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.