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Finding the Fourth Proportional to 708,210, 977,329.80 and 390,258

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Solution

The fourth proportional to 708,210, 977,329.80 and 390,258 is: 538,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,210 : 977,329.80 = 390,258 : x
  2. Step 2: Convert to fraction form
    708,210/977,329.80 = 390,258/x
  3. Step 3: Cross multiply
    708,210x = 977,329.80 × 390,258
  4. Step 4: Simplify right side
    708,210x = 381,410,773,088.40
  5. Step 5: Solve for x
    x = 381,410,773,088.40/708,210
  6. Step 6: Final answer
    x = 538,556.04

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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.