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Finding the Fourth Proportional to 852,312, 1,176,189.48 and 470,338.80

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Solution

The fourth proportional to 852,312, 1,176,189.48 and 470,338.80 is: 649,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,312 : 1,176,189.48 = 470,338.80 : x
  2. Step 2: Convert to fraction form
    852,312/1,176,189.48 = 470,338.80/x
  3. Step 3: Cross multiply
    852,312x = 1,176,189.48 × 470,338.80
  4. Step 4: Simplify right side
    852,312x = 553,207,548,595.82
  5. Step 5: Solve for x
    x = 553,207,548,595.82/852,312
  6. Step 6: Final answer
    x = 649,066.95

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1.5x scale

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.