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Finding the Fourth Proportional to 708,264, 977,404.32 and 390,312

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Solution

The fourth proportional to 708,264, 977,404.32 and 390,312 is: 538,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,264 : 977,404.32 = 390,312 : x
  2. Step 2: Convert to fraction form
    708,264/977,404.32 = 390,312/x
  3. Step 3: Cross multiply
    708,264x = 977,404.32 × 390,312
  4. Step 4: Simplify right side
    708,264x = 381,492,634,947.84
  5. Step 5: Solve for x
    x = 381,492,634,947.84/708,264
  6. Step 6: Final answer
    x = 538,630.56

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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.