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Finding the Fourth Proportional to 706,312, 974,678.88 and 400,384

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Solution

The fourth proportional to 706,312, 974,678.88 and 400,384 is: 552,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,312 : 974,678.88 = 400,384 : x
  2. Step 2: Convert to fraction form
    706,312/974,678.88 = 400,384/x
  3. Step 3: Cross multiply
    706,312x = 974,678.88 × 400,384
  4. Step 4: Simplify right side
    706,312x = 390,245,828,689.92
  5. Step 5: Solve for x
    x = 390,245,828,689.92/706,312
  6. Step 6: Final answer
    x = 552,511.96

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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.