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Finding the Fourth Proportional to 688,316.52, 949,903.45 and 470,980.77

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Solution

The fourth proportional to 688,316.52, 949,903.45 and 470,980.77 is: 649,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,316.52 : 949,903.45 = 470,980.77 : x
  2. Step 2: Convert to fraction form
    688,316.52/949,903.45 = 470,980.77/x
  3. Step 3: Cross multiply
    688,316.52x = 949,903.45 × 470,980.77
  4. Step 4: Simplify right side
    688,316.52x = 447,386,257,129.21
  5. Step 5: Solve for x
    x = 447,386,257,129.21/688,316.52
  6. Step 6: Final answer
    x = 649,971.70

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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.