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Finding the Fourth Proportional to 458,051,703.60, 686,629,657.80 and 409,678,762.80

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Solution

The fourth proportional to 458,051,703.60, 686,629,657.80 and 409,678,762.80 is: 614,117,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051,703.60 : 686,629,657.80 = 409,678,762.80 : x
  2. Step 2: Convert to fraction form
    458,051,703.60/686,629,657.80 = 409,678,762.80/x
  3. Step 3: Cross multiply
    458,051,703.60x = 686,629,657.80 × 409,678,762.80
  4. Step 4: Simplify right side
    458,051,703.60x = 281,297,588,709,291,360
  5. Step 5: Solve for x
    x = 281,297,588,709,291,360/458,051,703.60
  6. Step 6: Final answer
    x = 614,117,547.21

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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.