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Finding the Fourth Proportional to 518,084.35, 714,955.62 and 291,731.47

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Solution

The fourth proportional to 518,084.35, 714,955.62 and 291,731.47 is: 402,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,084.35 : 714,955.62 = 291,731.47 : x
  2. Step 2: Convert to fraction form
    518,084.35/714,955.62 = 291,731.47/x
  3. Step 3: Cross multiply
    518,084.35x = 714,955.62 × 291,731.47
  4. Step 4: Simplify right side
    518,084.35x = 208,575,054,007.36
  5. Step 5: Solve for x
    x = 208,575,054,007.36/518,084.35
  6. Step 6: Final answer
    x = 402,588.99

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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.