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Finding the Fourth Proportional to 570,316, 787,009.20 and 312,187.84

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Solution

The fourth proportional to 570,316, 787,009.20 and 312,187.84 is: 430,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,316 : 787,009.20 = 312,187.84 : x
  2. Step 2: Convert to fraction form
    570,316/787,009.20 = 312,187.84/x
  3. Step 3: Cross multiply
    570,316x = 787,009.20 × 312,187.84
  4. Step 4: Simplify right side
    570,316x = 245,694,702,208.13
  5. Step 5: Solve for x
    x = 245,694,702,208.13/570,316
  6. Step 6: Final answer
    x = 430,804.51

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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.