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Finding the Fourth Proportional to 515,403, 711,333.90 and 314,315.64

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Solution

The fourth proportional to 515,403, 711,333.90 and 314,315.64 is: 433,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,403 : 711,333.90 = 314,315.64 : x
  2. Step 2: Convert to fraction form
    515,403/711,333.90 = 314,315.64/x
  3. Step 3: Cross multiply
    515,403x = 711,333.90 × 314,315.64
  4. Step 4: Simplify right side
    515,403x = 223,583,370,032.20
  5. Step 5: Solve for x
    x = 223,583,370,032.20/515,403
  6. Step 6: Final answer
    x = 433,803.00

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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.