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Finding the Fourth Proportional to 470,710.20, 706,065.30 and 452,339.40

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Solution

The fourth proportional to 470,710.20, 706,065.30 and 452,339.40 is: 678,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.20 : 706,065.30 = 452,339.40 : x
  2. Step 2: Convert to fraction form
    470,710.20/706,065.30 = 452,339.40/x
  3. Step 3: Cross multiply
    470,710.20x = 706,065.30 × 452,339.40
  4. Step 4: Simplify right side
    470,710.20x = 319,381,154,162.82
  5. Step 5: Solve for x
    x = 319,381,154,162.82/470,710.20
  6. Step 6: Final answer
    x = 678,509.10

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1.5x scale

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.