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Finding the Fourth Proportional to 688,485.09, 949,814.71 and 429,913.14

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Solution

The fourth proportional to 688,485.09, 949,814.71 and 429,913.14 is: 593,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,485.09 : 949,814.71 = 429,913.14 : x
  2. Step 2: Convert to fraction form
    688,485.09/949,814.71 = 429,913.14/x
  3. Step 3: Cross multiply
    688,485.09x = 949,814.71 × 429,913.14
  4. Step 4: Simplify right side
    688,485.09x = 408,337,824,394.29
  5. Step 5: Solve for x
    x = 408,337,824,394.29/688,485.09
  6. Step 6: Final answer
    x = 593,096.10

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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.