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Finding the Fourth Proportional to 553,106.93, 829,944.72 and 478,705.19

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Solution

The fourth proportional to 553,106.93, 829,944.72 and 478,705.19 is: 718,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,106.93 : 829,944.72 = 478,705.19 : x
  2. Step 2: Convert to fraction form
    553,106.93/829,944.72 = 478,705.19/x
  3. Step 3: Cross multiply
    553,106.93x = 829,944.72 × 478,705.19
  4. Step 4: Simplify right side
    553,106.93x = 397,298,840,727.37
  5. Step 5: Solve for x
    x = 397,298,840,727.37/553,106.93
  6. Step 6: Final answer
    x = 718,303.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.