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Finding the Fourth Proportional to 313,357,563.60, 470,036,345.40 and 286,572,937.20

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Solution

The fourth proportional to 313,357,563.60, 470,036,345.40 and 286,572,937.20 is: 429,859,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,357,563.60 : 470,036,345.40 = 286,572,937.20 : x
  2. Step 2: Convert to fraction form
    313,357,563.60/470,036,345.40 = 286,572,937.20/x
  3. Step 3: Cross multiply
    313,357,563.60x = 470,036,345.40 × 286,572,937.20
  4. Step 4: Simplify right side
    313,357,563.60x = 134,699,696,092,031,696
  5. Step 5: Solve for x
    x = 134,699,696,092,031,696/313,357,563.60
  6. Step 6: Final answer
    x = 429,859,405.80

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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.