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Finding the Fourth Proportional to 708,288, 977,437.44 and 390,336

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Solution

The fourth proportional to 708,288, 977,437.44 and 390,336 is: 538,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,288 : 977,437.44 = 390,336 : x
  2. Step 2: Convert to fraction form
    708,288/977,437.44 = 390,336/x
  3. Step 3: Cross multiply
    708,288x = 977,437.44 × 390,336
  4. Step 4: Simplify right side
    708,288x = 381,529,020,579.84
  5. Step 5: Solve for x
    x = 381,529,020,579.84/708,288
  6. Step 6: Final answer
    x = 538,663.68

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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.