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Finding the Fourth Proportional to 515,395, 711,322.86 and 314,307.64

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Solution

The fourth proportional to 515,395, 711,322.86 and 314,307.64 is: 433,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,395 : 711,322.86 = 314,307.64 : x
  2. Step 2: Convert to fraction form
    515,395/711,322.86 = 314,307.64/x
  3. Step 3: Cross multiply
    515,395x = 711,322.86 × 314,307.64
  4. Step 4: Simplify right side
    515,395x = 223,574,209,404.65
  5. Step 5: Solve for x
    x = 223,574,209,404.65/515,395
  6. Step 6: Final answer
    x = 433,791.96

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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.