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Finding the Fourth Proportional to 659,312.64, 909,851.90 and 357,506.64

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Solution

The fourth proportional to 659,312.64, 909,851.90 and 357,506.64 is: 493,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,312.64 : 909,851.90 = 357,506.64 : x
  2. Step 2: Convert to fraction form
    659,312.64/909,851.90 = 357,506.64/x
  3. Step 3: Cross multiply
    659,312.64x = 909,851.90 × 357,506.64
  4. Step 4: Simplify right side
    659,312.64x = 325,278,095,666.62
  5. Step 5: Solve for x
    x = 325,278,095,666.62/659,312.64
  6. Step 6: Final answer
    x = 493,359.41

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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.