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Finding the Fourth Proportional to 470,565.40, 705,848.10 and 439,461.40

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Solution

The fourth proportional to 470,565.40, 705,848.10 and 439,461.40 is: 659,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,565.40 : 705,848.10 = 439,461.40 : x
  2. Step 2: Convert to fraction form
    470,565.40/705,848.10 = 439,461.40/x
  3. Step 3: Cross multiply
    470,565.40x = 705,848.10 × 439,461.40
  4. Step 4: Simplify right side
    470,565.40x = 310,192,994,213.34
  5. Step 5: Solve for x
    x = 310,192,994,213.34/470,565.40
  6. Step 6: Final answer
    x = 659,192.10

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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.