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Finding the Fourth Proportional to 570,459.34, 855,716.65 and 470,436.90

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Solution

The fourth proportional to 570,459.34, 855,716.65 and 470,436.90 is: 705,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,459.34 : 855,716.65 = 470,436.90 : x
  2. Step 2: Convert to fraction form
    570,459.34/855,716.65 = 470,436.90/x
  3. Step 3: Cross multiply
    570,459.34x = 855,716.65 × 470,436.90
  4. Step 4: Simplify right side
    570,459.34x = 402,560,688,104.39
  5. Step 5: Solve for x
    x = 402,560,688,104.39/570,459.34
  6. Step 6: Final answer
    x = 705,678.14

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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.