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Finding the Fourth Proportional to 708,875.20, 978,225.84 and 402,984.96

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Solution

The fourth proportional to 708,875.20, 978,225.84 and 402,984.96 is: 556,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,875.20 : 978,225.84 = 402,984.96 : x
  2. Step 2: Convert to fraction form
    708,875.20/978,225.84 = 402,984.96/x
  3. Step 3: Cross multiply
    708,875.20x = 978,225.84 × 402,984.96
  4. Step 4: Simplify right side
    708,875.20x = 394,210,301,003.37
  5. Step 5: Solve for x
    x = 394,210,301,003.37/708,875.20
  6. Step 6: Final answer
    x = 556,106.77

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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.