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Finding the Fourth Proportional to 470,854.50, 706,281.75 and 120,646.50

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Solution

The fourth proportional to 470,854.50, 706,281.75 and 120,646.50 is: 180,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,854.50 : 706,281.75 = 120,646.50 : x
  2. Step 2: Convert to fraction form
    470,854.50/706,281.75 = 120,646.50/x
  3. Step 3: Cross multiply
    470,854.50x = 706,281.75 × 120,646.50
  4. Step 4: Simplify right side
    470,854.50x = 85,210,421,151.38
  5. Step 5: Solve for x
    x = 85,210,421,151.38/470,854.50
  6. Step 6: Final answer
    x = 180,969.75

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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.