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Finding the Fourth Proportional to 706,106.50, 974,423.04 and 400,240.72

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Solution

The fourth proportional to 706,106.50, 974,423.04 and 400,240.72 is: 552,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,106.50 : 974,423.04 = 400,240.72 : x
  2. Step 2: Convert to fraction form
    706,106.50/974,423.04 = 400,240.72/x
  3. Step 3: Cross multiply
    706,106.50x = 974,423.04 × 400,240.72
  4. Step 4: Simplify right side
    706,106.50x = 390,003,779,114.19
  5. Step 5: Solve for x
    x = 390,003,779,114.19/706,106.50
  6. Step 6: Final answer
    x = 552,329.97

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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.