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Finding the Fourth Proportional to 714,437.70, 986,742.30 and 470,512.86

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Solution

The fourth proportional to 714,437.70, 986,742.30 and 470,512.86 is: 649,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,437.70 : 986,742.30 = 470,512.86 : x
  2. Step 2: Convert to fraction form
    714,437.70/986,742.30 = 470,512.86/x
  3. Step 3: Cross multiply
    714,437.70x = 986,742.30 × 470,512.86
  4. Step 4: Simplify right side
    714,437.70x = 464,274,939,303.41
  5. Step 5: Solve for x
    x = 464,274,939,303.41/714,437.70
  6. Step 6: Final answer
    x = 649,846.64

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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.